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Finding the Fourth Proportional to 502, 692.94 and 385.36

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Solution

The fourth proportional to 502, 692.94 and 385.36 is: 531.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    502 : 692.94 = 385.36 : x
  2. Step 2: Convert to fraction form
    502/692.94 = 385.36/x
  3. Step 3: Cross multiply
    502x = 692.94 × 385.36
  4. Step 4: Simplify right side
    502x = 267,031.36
  5. Step 5: Solve for x
    x = 267,031.36/502
  6. Step 6: Final answer
    x = 531.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.